diff --git a/Project.toml b/Project.toml
index b66176754..a420d3ed9 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ChainRules"
 uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
-version = "1.44.0"
+version = "1.44.1"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
diff --git a/src/ChainRules.jl b/src/ChainRules.jl
index 30e492d2e..9f63eeb11 100644
--- a/src/ChainRules.jl
+++ b/src/ChainRules.jl
@@ -5,7 +5,7 @@ using Base.Broadcast: materialize, materialize!, broadcasted, Broadcasted, broad
 using ChainRulesCore
 using Compat
 using Distributed
-using GPUArraysCore: AbstractGPUArray, AbstractGPUArrayStyle
+using GPUArraysCore: AbstractGPUArray, AbstractGPUArrayStyle, @allowscalar
 using IrrationalConstants: logtwo, logten
 using LinearAlgebra
 using LinearAlgebra.BLAS
diff --git a/src/rulesets/Base/array.jl b/src/rulesets/Base/array.jl
index 49a4e1ac2..cc1d3d36c 100644
--- a/src/rulesets/Base/array.jl
+++ b/src/rulesets/Base/array.jl
@@ -216,6 +216,7 @@ _catsize(x::AbstractArray) = size(x)
 
 function rrule(::typeof(hcat), Xs...)
     Y = hcat(Xs...)  # note that Y always has 1-based indexing, even if X isa OffsetArray
+    Base.require_one_based_indexing(Y)
     ndimsY = Val(ndims(Y))  # this avoids closing over Y, Val() is essential for type-stability
     sizes = map(_catsize, Xs)   # this avoids closing over Xs
     project_Xs = map(ProjectTo, Xs)
@@ -233,15 +234,10 @@ function rrule(::typeof(hcat), Xs...)
                     d > ndimsX ? 1 : (:)
                 end
             end
-            dX = if ndimsX > 0
-                # Here InplaceableThunk breaks @inferred, removed for now
-                # InplaceableThunk(dX -> dX .+= view(dY, ind...), @thunk(dY[ind...]))
-                dY[ind...]
-            else
-                # This is a hack to perhaps avoid GPU scalar indexing
-                sum(view(dY, ind...))
-            end
-            return project(dX)
+            InplaceableThunk(
+                dX -> dX .+= view(dY, ind...),
+                @thunk project(@allowscalar dY[ind...])
+            )
         end
         return (NoTangent(), dXs...)
     end
@@ -253,6 +249,8 @@ function frule((_, _, Ȧs), ::typeof(reduce), ::typeof(hcat), As::AbstractVecto
 end
 
 function rrule(::typeof(reduce), ::typeof(hcat), As::AbstractVector{<:AbstractVecOrMat})
+    Y = reduce(hcat, As)
+    Base.require_one_based_indexing(Y)
     widths = map(A -> size(A,2), As)
     function reduce_hcat_pullback_2(dY)
         hi = Ref(0)
@@ -263,7 +261,7 @@ function rrule(::typeof(reduce), ::typeof(hcat), As::AbstractVector{<:AbstractVe
         end
         return (NoTangent(), NoTangent(), dAs)
     end
-    return reduce(hcat, As), reduce_hcat_pullback_2
+    return Y, reduce_hcat_pullback_2
 end
 
 function rrule(::typeof(reduce), ::typeof(hcat), As::AbstractVector{<:AbstractVector})
@@ -286,6 +284,7 @@ end
 
 function rrule(::typeof(vcat), Xs...)
     Y = vcat(Xs...)
+    Base.require_one_based_indexing(Y)
     ndimsY = Val(ndims(Y))
     sizes = map(_catsize, Xs)
     project_Xs = map(ProjectTo, Xs)
@@ -303,13 +302,10 @@ function rrule(::typeof(vcat), Xs...)
                     d > ndimsX ? 1 : (:)
                 end
             end
-            dX = if ndimsX > 0
-                # InplaceableThunk(@thunk(dY[ind...]), dX -> dX .+= view(dY, ind...))
-                dY[ind...]
-            else
-                sum(view(dY, ind...))
-            end
-            return project(dX)
+            InplaceableThunk(
+                dX -> dX .+= view(dY, ind...),
+                @thunk project(@allowscalar dY[ind...])
+            )
         end
         return (NoTangent(), dXs...)
     end
@@ -322,6 +318,7 @@ end
 
 function rrule(::typeof(reduce), ::typeof(vcat), As::AbstractVector{<:AbstractVecOrMat})
     Y = reduce(vcat, As)
+    Base.require_one_based_indexing(Y)
     ndimsY = Val(ndims(Y))
     heights = map(A -> size(A,1), As)
     function reduce_vcat_pullback(dY)
@@ -349,6 +346,7 @@ end
 
 function rrule(::typeof(cat), Xs...; dims)
     Y = cat(Xs...; dims=dims)
+    Base.require_one_based_indexing(Y)
     cdims = dims isa Val ? Int(_val(dims)) : dims isa Integer ? Int(dims) : Tuple(dims)
     ndimsY = Val(ndims(Y))
     sizes = map(_catsize, Xs)
@@ -368,13 +366,10 @@ function rrule(::typeof(cat), Xs...; dims)
             for d in cdims
                 prev[d] += get(sizeX, d, 1)
             end
-            dX = if ndimsX > 0
-                # InplaceableThunk(@thunk(dY[index...]), dX -> dX .+= view(dY, index...))
-                dY[index...]
-            else
-                sum(view(dY, index...))
-            end
-            return project(dX)
+            InplaceableThunk(
+                dX -> dX .+= view(dY, index...),
+                @thunk project(@allowscalar dY[index...])
+            )
         end
         return (NoTangent(), dXs...)
     end